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This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum groups, the invariant subspace problem, large deviations, subfactors, and beyond. This book puts a special emphasis on the relation of free probability to random matrices, but also touches upon the operator algebraic, combinatorial, and analytic aspects of the theory. The book serves as a combination textbook/research monograph, with self-contained chapters, exercises scattered throughout the text, and coverage of important ongoing progress of the theory. It will appeal to graduate students and all mathematicians interested in random matrices and free probability from the point of view of operator algebras, combinatorics, analytic functions, or applications in engineering and statistical physics.
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Published originally in 1981, the work at hand is an alphabetical listing of all free African-American heads of household listed in the five U.S. censuses for the State of New York taken between 1790 and 1830. Since it was during this 40-year period that the New York legislature passed a series of statutes resulting in the gradual emancipation of the state's slave population, the scope of this work documents the emergence of a completely free black population by 1830. In all, there are 15,000 references to freedmen, many of whom appear in more than one census.
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DT Local 08-15-2005 $35.00.